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Finding the Fourth Proportional to 7,685.80, 11,528.70 and 6,908.20

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Solution

The fourth proportional to 7,685.80, 11,528.70 and 6,908.20 is: 10,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.80 : 11,528.70 = 6,908.20 : x
  2. Step 2: Convert to fraction form
    7,685.80/11,528.70 = 6,908.20/x
  3. Step 3: Cross multiply
    7,685.80x = 11,528.70 × 6,908.20
  4. Step 4: Simplify right side
    7,685.80x = 79,642,565.34
  5. Step 5: Solve for x
    x = 79,642,565.34/7,685.80
  6. Step 6: Final answer
    x = 10,362.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.